arXiv 1806.096772018-06-25astro-ph.GAgr-qc

f（T）引力中的银河系旋转动力学

Galactic Rotation Dynamics in f(T) gravity

Andrew Finch, Jackson Levi Said

备注：: 18 pages, 6 figures, Accepted for publication in the EPJC
DOI：: 10.1140/epjc/s10052-018-6028-1

摘要：

本文研究了在$f(T)$引力作用下的星系自转曲线，其中$T$代表一个扭转量。我们的研究集中在特定的拉格朗日$f(T)=T+α{T^n}$，其中$|n|\neq 1$和$α$是一个小的未知常数。要做到这一点，我们把银河系的旋转曲线作为由两个不同的功能，即星系盘和隆起。对于指数$n$的几个值执行该过程。然后将所得曲线与银河系剖面数据进行比较，以约束指数$n$的值，同时拟合参数$α$。这些值，然后进一步测试其他三个星系具有不同的形态。在银河系尺度上，我们发现$f(T)$引力在一个重要方面偏离了标准牛顿理论。对于一个小范围的值的$n$，我们发现很好的协议与数据，而不需要引入外来物质成分。

英文摘要：

We investigate galactic rotation curves in $f(T)$ gravity, where $T$ represents a torsional quantity. Our study centers on the particular Lagrangian $f(T)=T+α{T^n}$, where $|n|\neq 1$ and $α$ is a small unknown constant. To do this we treat galactic rotation curves as being composed from two distinct features of galaxies, namely the disk and the bulge. This process is carried out for several values of the index $n$. The resulting curve is then compared with Milky Way profile data to constrain the value of the index $n$ while fitting for the parameter $α$. These values are then further tested on three other galaxies with different morphologies. On the galactic scale we find that $f(T)$ gravity departs from standard Newtonian theory in an important way. For a small range of values of $n$ we find good agreement with data without the need for exotic matter components to be introduced.

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英文摘要：

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